Global existence and decay estimates for the solution of a nonlinear Bresse system

DOI10.1016/J.NA.2018.03.007zbMath1406.35184OpenAlexW2794463685MaRDI QIDQ1748245

Belkacem Said-Houari

Publication date: 9 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.03.007

zbMATH Keywords

energy methoddecay rateartificial dampingregularity loss

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (1)

On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis

Cites Work

• Global existence and decay property of the Timoshenko system in thermoelasticity with second sound
• The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
• Global existence and minimal decay regularity for the Timoshenko system: the case of non-equal wave speeds
• Stability to weak dissipative Bresse system
• Large time asymptotics for partially dissipative hyperbolic systems
• Energy decay rate of the thermoelastic Bresse system
• Diffusion phenomenon for linear dissipative wave equations in an exterior domain
• Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
• Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds
• Decay and asymptotics for \(\square u = F(u)\)
• Rates of decay to weak thermoelastic Bresse system
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC–ELLIPTIC SYSTEM
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy

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